After hanging one on my shop wall, I'd put it on a ground pad. The vibration directly attached to the framing transmits that to the house. We're in the middle of the woods and very quiet. Someone in town with road and neighborhood noise might not notice as much, with that said we're now used to it.
To answer your question, I'd locate a stud from the inside, drill a hole to the outside next to it. You can measure from this point to locate the other studs. At this point you'll need to find out the mounting details of the hanging supports. The best way to handle the siding is to cut it out exactly the size of the supports, I'd use a length of 5/4 x4" PVC trim, It's purpose is basically just a spacer just a little thicker than the siding allowing an edge to caulk the siding to. The brackets lags will through it into the studs. A little piece of the siding that you removed can be easily bent into flashing for the top of the vertical PVC.
Aluminum siding does not expand anywhere near the amount that vinyl does and this was the norm (**** and caulk) back in the aluminum days. Use good caulk and OSI brand has it in all the colors by all the different manufacturers. I've used it for over 30 years doing "production" work for reigonal and national builders.
Cutting the aluminum can done patiently with a knife and shears, but I'd recommend one of those little oscillating "buzzing" can't think of what there called saws. There's no "shoe" to scratch the paint and the soft aluminum will cut easily, find a course blade, a finer one might clog up.
Iirc the bracket my guy used barely squeezed on 32" (2 stud bays), measure twice, cut once. The aluminum siding is good stuff for those who want no maintenance other than washing, it can be very successfully painted, be careful with it. Mounting it this way would have been how it was done years ago with the exception of the PVC trim, that would have been a piece of wood "wrapped" with aluminum coil stock. Also in the future this method will accommodate vinyl, wood or anything else other than 4x8 sheets of whatever.